how do i solve x^3-4x^2+5x=50

Question

amistre64 · Answer

x^3 -4x^2 +5x -50 = 0

can either try to factor by grouping or to trail and error it

amistre64 · Answer

i aint got an eye for grouping :)

amistre64 · Answer

1,50; 2,25; 5,10 seem to be it

lets try 10

10 | 1  -4  5  50
       0  10 60
      ------------
       1   6  65 ..........aint gonna happen with that

amistre64 · Answer

2?

2 | 1  -4  5  50
     0    2 -4
     ------------
     1   -2 1 ........ nope

the quicekr way is to use a graphing program

amistre64 · Answer

try 5 ?

5 | 1 -4  5  -50 
     0   5  5   50
    -----------
     1   1 10   0

x = 5 is a root

now to determine if the rest is factorable...

x^2 +x +10

1 -40 = irreducible

(x-5)(x^2 +x +10) is the factored form and the only root is x=5